BACKGROUND OF THE INVENTION
1. Field of the Invention
[0001] The present invention generally relates to an apparatus and method for measuring
the speed of a moving object, and in particular, to an apparatus and method for measuring
the speed of these moving objects based on a roll angle.
2. Description of the Related Art
[0002] Generally, moving objects such as vehicles, ships, and aircrafts have an embedded
navigation system that determines the position of the moving object (positioning),
routes a path to a given destination (routing), and provides the routing results.
[0003] In order to determine the position of a moving object and provide a path to the destination,
navigation systems should be able to determine the exact position of a vehicle. Therefore,
navigation systems generally include a positioning device for position determination.
Such positioning devices are classified into two types, one for determining the position
using an outside source and the other for determining the position using an inside
sensor. A Global Positioning System (GPS) is an example of the former type of positioning
device. A Dead Reckoning (DR) system using an inertial sensor is an example of the
latter type of positioning device.
[0004] A DR system calculates the speed and position of a moving object using a gyroscope
for detecting a rotational motion of the moving object and an accelerometer for detecting
a straight line motion of the moving object. In particular, the speed of the moving
object can be calculated using both speed information acquired from an acceleration
measured by the accelerometer and moving direction information acquired from the gyroscope.
[0005] In general, the DR system measures the moving direction angle of a vehicle on a road
and an acceleration in the moving direction of the vehicle, as well as calculates
the moving speed vector of the vehicle using the moving direction angle of the vehicle
and the acceleration in the moving direction of the vehicle. In order to measure the
moving direction of the vehicle, the DR system requires a gyroscope installed on an
axis perpendicular to a plane on which wheel axles(axis of axles) are placed. And
in order to measure the acceleration in the moving direction of the vehicle, the DR
system requires the measurement value of a road inclination angle in addition to an
accelerometer installed in the direction of the wheel axle(axis of axle).
[0006] The road inclination angle measurement value is required because a specific force
component proportional to gravitational acceleration is included in the output of
the accelerometer and the specific force component may be calculated from the road
inclination angle. Since gravitational acceleration works perpendicularly to the surface
of the earth spheroid (a spherical surface perpendicular to the directions of the
gravitational acceleration) at all times, the angle of the axis of the accelerometer
mounted in the vehicle (fixed in a particular direction within the vehicle) with respect
to the surface of the earth spheroid changes, thereby resulting in a change in the
specific force component included in the output of the accelerometer.
[0007] In other words, if the road inclination angle changes, the direction of the axis
of the accelerometer mounted in the vehicle is not perpendicular to the direction
of gravitational acceleration. Thus, the accelerometer measures a rate of change in
the actual speed of motion (an actual motional acceleration) including a component
of gravitational acceleration.
[0008] FIG. 1 is a view explaining a component of the gravitational acceleration included
in the acceleration of a moving object. Referring to FIG. 1, a road inclination angle
is inclined with respect to a plane perpendicular to the direction (±g) of the gravitational
acceleration. In FIG. 1, an angle between a plane 20 perpendicular to the direction
(±g) of the gravitational acceleration and a plane 10 extending in the moving direction
of a vehicle 30 is a road inclination angle θ. When the vehicle 30 travels on the
plane 10 inclined at the road inclination angle θ with respect to the plane 10 perpendicular
to the direction (±g) of the gravitational acceleration as shown in FIG. 1, a measurement
value
a of an accelerometer mounted in the vehicle 30 includes an actual acceleration and
a component of a gravitational acceleration
g. Thus, the component of the gravitational acceleration
g is also measured together with a rate of change in the actual speed of motion and
may cause a big error in the measurement of speed.
[0009] Thus, for accurate speed measurement, a vehicle DR system must subtract the gravitational
acceleration
g from the measurement value
a of the accelerometer and measures the road inclination angle θ to measure the gravitational
acceleration
g.
[0010] The DR system for vehicles can measure the road inclination angle θ using a rotational
angle with respect to the forward direction of a vehicle, a rotational angle with
respect to the lateral direction of the vehicle perpendicular to the forward direction
of the vehicle, and a rotational angle and a roll angle φ with respect to the lower
direction of the vehicle perpendicular to the forward direction and the lateral direction
of the vehicle. The roll angle φ means the amount of inclination of the vehicle with
respect to the forward direction of the vehicle.
[0011] FIG. 2 illustrates coordinate axes defined in a moving object. In FIGs. 2A and 2B,
an axis along the forward direction of a vehicle is defined as an X axis, an axis
perpendicular to the X axis and passing through the lateral sides of the vehicle is
defined as a Y axis, and an axis perpendicular to an XY plane along the lower direction
of the vehicle is defined as a Z axis.
[0012] Referring to FIG. 2, a rate of change in the road inclination angle θ can be expressed
in Equation (1) as follows:

where
ωY is an angular speed along the Y axis,
ωZ is an angular speed along the Z axis, and φ is the roll angle of the vehicle. At
this time, the roll angle φ means the angle of inclination of the vehicle along the
X axis.
[0013] The change rate of the roll angle φ can be expressed in Equation (2) as follows:

where
ωX is an angular speed along the X axis. Equations (1) and (2) are well-known relational
expressions related to the change rate of an Euler angle.
[0014] Referring to Equation (2), to accurately calculate the change rate

of the roll angle φ, three axis gyroscopes are required for measuring the angular
speed
ωX along the X axis, the angular speed
ωY along the Y axis, and the angular speed
ωZ along the Z axis.
[0015] However, generally, a roll motion that is a rotational motion with respect to a wheel
axle(axis of axle) (the X axis) connecting the front and rear sides of the vehicle
and a straight line motion with respect to an axis (the Z axis) perpendicular to the
ground surface is negligible during driving of the vehicle. Thus, conventionally,
the road inclination angle θ is calculated only using the angular speed
ωX along the X axis and the angular speed
ωY along the Y axis, irrespective of the roll angle φ and the angular speed
ωZ along the Z axis in Equation (2).
[0016] When the roll angle φ and the angular speed
ωZ along the Z axis are neglected, i.e., they are assumed to be 0, Equation (1) is

and the change rate

of the road inclination angle
θ can be given as in Equation (3) by:

where
ωY can be calculated from the output of a gyroscope that measures an angular speed along
an axis (the Y axis) passing through the lateral sides perpendicular to the forward
direction of the vehicle and the road inclination angle θ is obtained by integrating
ωY.
[0017] However, when there are many curves on the road and thus the roll angle of the vehicle
increases, the roll angle of the vehicle has a significant influence upon the road
inclination angle. In addition, when the angular speed
ωZ along the Z axis is large in Equation (1), even if the roll angle of the vehicle
is not large, the roll angle of the vehicle has a significant influence upon the road
inclination angle. As a result, conventional calculations of the road inclination
angle θ, which neglects the roll angle of the vehicle, has a significant error.
[0018] In other words, in the case where the roll angle of the vehicle has a large influence
upon the road inclination angle, the road inclination angle calculated using Equation
(3) neglecting the roll angle of the vehicle has a difference with the actual road
inclination angle, which increases over time. As a result, there are large differences
between measured speed and position and actual speed and position. Thus, the road
inclination angle should be calculated based on the roll angle of the vehicle.
[0019] In Equation (2), gyroscopes for the X axis, the Y axis, and the Z axis are required
to calculate the change rate

of the roll angle φ based on the roll angle φ. However, to use the gyroscope for
three axes, additional gyroscopes must be mounted in a DR system, increasing the manufacturing
cost of the DR system for measuring the speed of the vehicle.
[0020] JP 2004 150973 A discloses the use of an acceleration detector in the direction of the longitudinal
axis of a vehicle, an acceleration detector in a direction of the lateral axis of
the vehicle, a roll rate sensor and a pitch rate sensor for calculating a pure longitudinal
acceleration of the vehicle.
[0021] EP 1 096 230 A2 teaches a vehicular inertial guidance navigation system, which feeds the outputs
of angular rate sensors and accelerometers to a Kalman filter via a frame transformation
into the earth reference frame for the calculation of a pure acceleration of the vehicle.
[0022] US 2003/236606 A1 teaches a dynamic control system for vehicles, which can detect road side bank and
slope angles.
[0023] US 5 935 191 A teaches a navigation apparatus using the output data of an acceleration detecting
means for detecting vehicle acceleration.
[0024] US 2005/021270 A1 discloses a method for measuring the speed of a moving body using an accelerometer,
which measures accelerations along the x- and y-axes and for calculating a moving
average of the measured accelerations.
SUMMARY OF THE INVENTION
[0025] It is, therefore, an object of the present invention to provide an apparatus and
method for measuring the speed of a moving object based on roll movement.
[0026] It is still another object of the present invention to provide an apparatus and method
for measuring the speed of a moving object based on roll movement by using an accelerometer,
instead of additionally mounting gyroscopes.
[0027] To achieve one aspect of the present invention, there is provided an apparatus for
measuring the speed of a moving object. The apparatus includes accelerometers, gyroscopes,
a roll angle calculator, an inclination angle calculator, and a speed calculator.
The accelerometers measure a first acceleration along the moving direction of the
moving object and a second acceleration along the lateral direction of the moving
object. The gyroscopes measure a first angular speed along the lateral direction of
the moving object and a second angular speed along the lower direction of the moving
object. The roll angle calculator calculates the roll angle of the moving object using
the second acceleration, the second angular speed, a previous speed of the moving
object in the moving direction of the moving object, and a previous road inclination
angle with respect to the moving direction of the moving object. The inclination angle
calculator calculates a road inclination angle using the calculated roll angle, the
first angular speed, and the second angular speed. The speed calculator calculates
a pure motion acceleration in the moving direction of the moving object using the
calculated road inclination angle and calculates the speed of the moving object using
the pure motion acceleration of the moving object.
[0028] To achieve another aspect of the present invention, there is also provided a method
for measuring the speed of a moving object. The method includes the steps of measuring
a first acceleration along the moving direction of the moving object and a second
acceleration along the lateral direction of the moving object, measuring a first angular
speed along the lateral direction of the moving object and a second angular speed
along the lower direction of the moving object, calculating the roll angle of the
moving object using the second acceleration, the second angular speed, a previous
speed of the moving object in the moving direction of the moving object, and a previous
road inclination angle with respect to the moving direction of the moving object,
calculating a road inclination angle using the calculated roll angle, the first angular
speed, and the second angular speed, and calculating a pure motion acceleration in
the moving direction of the moving object using the calculated road inclination angle
and calculating the speed of the moving object using the pure motion acceleration
of the moving object.
BRIEF DESCRIPTION OF THE DRAWINGS
[0029] The above and other objects, features and advantages of the present invention will
become more apparent from the following detailed description when taken in conjunction
with the accompanying drawings in which:
FIG. 1 is a view explaining a component of a gravitational acceleration included in
the acceleration of a moving object;
FIG. 2A and 2B illustrates coordinate axes defined in a moving object;
FIG. 3 is a view explaining an arrangement of a gyroscope and an accelerometer in
a moving object according to the present invention;
FIG. 4 is a block diagram of an apparatus for measuring the speed of a moving object
according to the present invention;
FIG. 5 is a flowchart illustrating a method for measuring the speed of a moving object
according to the present invention; and
FIGs. 6A, 6B, 7A and 7B illustrate the measured speeds of a moving object according
to prior art and according to the present invention.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0030] A preferred embodiment of the present invention will now be described in detail with
reference to the annexed drawings. In the following description, a detailed description
of known functions and configurations incorporated herein has been omitted for conciseness.
[0031] An apparatus for measuring the speed of a moving object according to the present
invention calculates the roll angle of the moving object using two axis gyroscopes
and two axis accelerometers and measures the speed of the moving object based on the
calculated roll angle.
[0032] FIG. 3 is a view explaining an arrangement of a gyroscope and an accelerometer in
a moving object according to the present invention. In FIG. 3, a moving object is
a vehicle.
[0033] Referring to FIG. 3, an X axis is a wheel axis connecting the front and rear sides
of the vehicle and is in parallel with the moving direction of the vehicle. A Y axis
is perpendicular to the moving direction of the vehicle and passes through the lateral
sides of the vehicle. A Z axis is perpendicular to the X axis and the Y axis and connects
the top and the bottom of the vehicle.
[0034] According to the present invention, the apparatus for measuring the speed of a moving
object includes two gyroscopes that are located on the Y axis and the Z axis perpendicularly
to each other, and two accelerometers located on the X axis and the Y axis also perpendicularly
to each other.
[0035] A Y-axis gyroscope located on the Y axis measures the angular speed
ωY along the Y axis and a Z-axis gyroscope located on the Z axis measures the angular
speed
ωZ along the Z axis. An X-axis accelerometer located on the X axis measures an acceleration
fx along the X axis and a Y-axis accelerometer located on the Y axis measures an acceleration
fY along the Y axis.
[0036] When the constant of the gravitational acceleration is assumed to be g, the acceleration
fX along the X axis calculated by the X-axis accelerometer is expressed in Equation
(4) as follows:

where
aX is an actual motion acceleration component of a moving object along the X axis, g
is the constant of the gravitational acceleration, g sin
θ is a gravitational acceleration component, and -
ωZVY +
ωYVZ is an acceleration component caused by a rotational motion of the moving object.
[0037] The acceleration
fY along the Y-axis calculated by the X-axis accelerometer is expressed in Equation
(5) as follows:

where
aY is an actual motion acceleration component of a moving object along the Y axis, g
is the constant of the gravitational acceleration, -
g sin
θφ cos
θ is a gravitational acceleration component, and
ωZVX +
ωXVZ is an acceleration component caused by a rotational motion of the moving object.
[0038] In Equations (4) and (5),
ωX is an angular speed along the X axis,
ωY is an angular speed along the Y axis,
ωZ is an angular speed along the Z axis,
VX is a speed component along the X axis,
VY is a speed component along the Y axis, and
VZ is a speed component along the Z axis.
[0039] Since the vehicle nearly moves along a straight line in the direction of the X axis,
VY and
VZ in Equations (4) and (5) are close to 0. Thus,
when VY and
VZ are assumed to be 0, the acceleration
fX along the X axis is expressed in Equation (6) as follows:

[0040] In order to acquire a gravitational acceleration component g sinθ included in the
acceleration
fX along the X axis in Equation (6), the road inclination angle θ should be calculated
first.
[0041] The road inclination angle θ can be calculated by integrating Equation (1), i.e.,

[0042] By integrating Equation (1), the road inclination angle θ at a time instant t is
induced and expressed in Equation (7) as follows:

where θ
0 is the initial value of θ at time t = 0.
[0043] In order to calculate the road inclination angle θ in Equation (7), the roll angle
φ should be acquired first. The roll angle φ can be calculated using Equation (5).
When the acceleration component
aY along the Y axis is assumed to be 0 in Equation (5), Equation (5) can be arranged
as expressed in Equation (8) as follows:
fY can be expressed as in Equation (9) for the roll angle φ as follows:

where
fY uses a measurement value of the Y-axis accelerometer,
ωZ uses a measurement value of the Z-axis gyroscope, a speed
VX along the X axis and the road inclination angle θ use their immediately previous
estimates. The immediately previous estimates mean previous estimates
VX and θ. When there is no immediately previous estimate, predetermined initial values
may be used.
[0044] By using the immediately previous estimates
VX and θ in Equation (9), the roll angle φ can be given by Equation (10) as follows:

[0045] By substituting a calculated roll angle estimate
φ̂ into Equation (1), a road inclination angle change rate

is expressed in Equation (11) as follows:

[0046] By substituting a measurement value
ωY of the Y-axis gyroscope and a measurement value
ωZ of the Z-axis gyroscope into Equation (11), the road inclination angle change rate

is calculated and is then integrated with respect to a time axis to acquire the road
inclination angle θ.
[0047] The gravitational acceleration component
gsinθ included in the acceleration measurement value
fX along the X axis in Equation (6) can be acquired using the calculated road inclination
angle θ.
[0048] By subtracting the gravitational acceleration component
gsinθ from the acceleration
fX along the X axis, a pure motion acceleration of the moving object along the X axis
is acquired as expressed in Equation (12) as follows:

[0049] By integrating the pure motion acceleration
aX acquired using Equation (12) with respect to the time axis, a pure speed
VX of the moving object along the X axis can be acquired.
[0050] Thus, the apparatus for measuring the speed of a moving object according to the present
invention can accurately measure a pure motion speed of the moving object using the
principles described above.
[0051] Hereinafter, the configuration of the apparatus for measuring the speed of a moving
object according to the present invention will be described in detail below. FIG.
4 is a block diagram of an apparatus for measuring the speed of a moving object according
to the present invention. Referring to FIG. 4, the apparatus includes an X-axis accelerometer
110, a Y-axis accelerometer 120, a Y-axis gyroscope 130, a Z-axis gyroscope 140, a
sensor data processor 150, a roll angle calculator 160, an inclination angle calculator
170, a speed calculator 180, and a data storage unit 190.
[0052] The X-axis accelerometer 110 measures a first acceleration, i.e., the acceleration
fX along the X axis. The Y-axis accelerometer 120 measures a second acceleration, i.e.,
the acceleration
fY along the Y axis. The Y-axis gyroscope 130 measures a first angular speed, i.e.,
the angular speed
ωY along the Y axis. The Z-axis gyroscope 140 measures a second angular speed, i.e.,
the angular speed
ωZ along the Z axis.
[0053] The sensor data processor 150 processes the acceleration measurement values
fX and
fY output from the X-axis accelerometer 110 and the Y-axis accelerometer 120 and the
angular speed measurement values
ωY and
ωZ output from the Y-axis gyroscope 130 and the Z-axis gyroscope 140. In other words,
the sensor data processor 150 corrects the acceleration measurement values
fX and
fY and the angular speed measurement values
ωY and
ωZ and provides correction data to the roll angle calculator 160.
[0054] The roll angle calculator 160 calculates the roll angle φ of a moving object using
the acceleration measurement
value fY along the Y axis, the angular speed measurement value
ωZ along the Z axis, a previous speed
VX along the X axis, and a previous road inclination angle θ. In other words, the roll
angle calculator 160 arranges Equation (5) for the acceleration
fY measured by the Y-axis accelerometer 120 to Equation (9) for the roll angle φ. The
roll angle calculator 160 calculates the roll angle φ by substituting the acceleration
measurement value
fY along the Y axis, the angular speed measurement value
ωZ along the Z axis, the previous speed
VX along the X axis, and the previous road inclination angle θ into Equation (9). At
this time, the previous speed
VX along the X axis and the previous road inclination angle θ are immediately previous
estimates. The immediately previous estimates mean previous estimates
VX and θ. When there is no immediately previous estimate, predetermined initial values
may be used.
[0055] The inclination angle calculator 170 calculates the road inclination angle θ using
the roll angle φ calculated by the roll angle calculator 160, the angular speed
ωY measured by the Y-axis gyroscope 130, and the angular speed
ωZ measured by the Z-axis gyroscope 140. In other words, the inclination angle calculator
170 acquires Equation (10) for the roll angle φ using immediately previous estimates
VX and θ and calculates a road inclination angle change rate using Equation (11) by
substituting Equation (10) into Equation (1). The inclination angle calculator 170
substitutes the calculated roll angle φ, the angular speed
ωY measured by the Y-axis gyroscope 130, and the angular speed
ωZ measured by the Z-axis gyroscope 140 into Equation (11) and integrates the road inclination
angle change rate with respect to the time axis, thereby calculating the road inclination
angle θ.
[0056] The speed calculator 180 calculates an accurate speed of the moving object using
the road inclination angle θ calculated by the inclination angle calculator 170 and
the acceleration measurement value
fX along the X axis. In other words, the speed calculator 180 calculates the gravitational
acceleration component
gsinθ in Equation (6) for the acceleration
fX by using the road inclination angle θ. The speed calculator 180 subtracts the gravitational
acceleration component
gsinθ from the acceleration measurement value
fX, thereby calculating the pure motion acceleration of the moving object along the X
axis as in Equation (12).
[0057] The data storage unit 190 stores the road inclination angle θ calculated by the inclination
angle calculator 170 and the pure speed
VX of the moving object calculated by the speed calculator 180 and provides the stored
previous road inclination angle θ and the stored previous pure speed
VX of the moving object to the roll angle calculator 160. Thus, the roll angle calculator
160 can calculate the roll angle φ using the acceleration measurement value
fY, the angular speed measurement value
ωZ , the previous pure speed
VX , and the previous road inclination angle θ.
[0058] Hereinafter, a method for measuring the speed of a moving object according to the
present invention will be described in detail. FIG. 5 is a flowchart illustrating
a method for measuring the speed of a moving object according to the present invention.
Referring to FIG. 5, the acceleration measurement value
fY is acquired in step 402 of FIG. 5. The acceleration measurement value
fY is acquired by the Y-axis accelerometer 120 and indicates the amount of change in
a speed along an axis (the Y axis) perpendicular to an axis (the X axis) along the
forward direction of the moving object and passing through the lateral sides of the
moving object.
[0059] In step 404 of FIG. 5, the angular speed measurement value
ωZ is acquired. The angular speed measurement value
ωZ is acquired by the Z-axis gyroscope 140 and indicates an angular speed along an axis
(the Z axis) perpendicular to an XY plane along the lower direction of the moving
object.
[0060] In step 406 of FIG. 5, the angular speed measurement value
ωY is acquired. The angular speed measurement value
ωY is acquired by the Y-axis gyroscope 130 and indicates an angular speed along an axis
(the Y axis) passing through the lateral sides of the moving object.
[0061] After the acceleration measurement value
fY and the angular speed measurement values
ωZ and
ωY are acquired, the roll angle φ is calculated in step 408 of FIG. 5. Simply, the roll
angle φ of the moving object is calculated using the acquired acceleration measurement
value
fY , the angular speed measurement value
ωY , the previous speed
VX along the X axis, and the previous road inclination angle θ. An equation for the
acceleration measurement value
fY acquired by the Y-axis gyroscope 130 is arranged to an equation for the roll angle
φ. The roll angle φ is then calculated by substituting the acceleration measurement
value
fY , the angular speed measurement value
ωY, the previous speed
VX along the X axis, and the previous road inclination angle θ into the equation for
the roll angle φ. At this time, the speed
VX along the X axis and the road inclination angle θ are immediately previous estimates.
The immediately previous estimates are the previous estimates
VX and θ. When there is no immediately previous estimate, predetermined initial values
may be used.
[0062] After calculation of the roll angle φ, the road inclination change rate is calculated
in step 410 of FIG. 5. In other words, Equation (10) for the roll angle φ is acquired
using the immediately previous estimates
VX and θ and the road inclination change rate is calculated using Equation (11) acquired
by substituting Equation (10) into Equation (1).
[0063] In step 412 of FIG. 5, the road inclination change rate is integrated with respect
to the time axis, thereby calculating the road inclination angle θ.
[0064] In step 414 of FIG. 5, a pure motion acceleration is calculated by subtracting a
gravitational acceleration component from the acceleration measurement value
fX along the X axis. In other words, the gravitational acceleration component
gsinθ is calculated using the calculated road inclination angle θ and the pure motion
acceleration
aX is calculated by subtracting the gravitational acceleration component from the acceleration
measurement value
fX .
[0065] In step 416 of FIG. 5, the pure speed
VX of the moving object along the X axis is calculated by integrating the pure motion
acceleration
aX with respect to the time axis.
[0066] In other words, according to the present invention, the speed of a moving object
can be accurately measured based on the roll angle of the moving object.
[0067] FIGs. 6A, 6B, 7A and 7B illustrate the speeds of a moving object measured according
to prior art and according to the present invention. In FIGs. 6 and 7, the speed of
a moving object measured irrespective of the roll angle of the moving object according
to prior art and the speed of the moving object measured based on the roll angle of
the moving object according to the present invention are compared to the speed (V-GPS)
of the moving object measured using a GPS.
[0068] Such comparisons are performed because the speed of the moving object measured using
a GPS has a small error when compared to an actual speed of the moving object. Thus,
in the present invention, it is assumed that the speed of the moving object measured
using a GPS is an actual speed of the moving object.
[0069] As a first comparison result, referring to FIG. 6A, it shows a graph of the speed
of a moving object measured irrespective of the roll angle of the moving object according
to prior art and a graph of the speed of the moving object measured using a GPS. In
FIG. 6A, the horizontal axis indicates a time axis (sec.) and the vertical axis indicates
a speed axis (m/s). In FIG. 6A an encircled 'a' indicates the speed (V-GPS) of the
moving object measured using the GPS and an encircled 'b' indicates the speed (V-DR)
of the moving object measured irrespective of the roll angle of the moving object
according to prior art. Referring to FIG. 6A, when the roll angle of the moving object
is neglected according to prior art, the speed (V-DR) measured according to prior
art has a large difference from the speed (V-GPS) measured using the GPS. Thus, it
can be seen that measurement of the speed of the moving object irrespective of the
roll angle has a significant error.
[0070] Referring to FIG. 6B, it shows a graph of the speed of a moving object measured based
on the roll angle of the moving object according to the present invention and a graph
of the speed of the moving object measured using a GPS. In FIG. 6B, an encircled 'c'
indicates the speed (V-GPS) of the moving object measured using the GPS and an encircled
'd' indicates the speed (V'-DR) of the moving object measured based on the roll angle
of the moving object according to the present invention. Referring to FIG. 6B, the
speed (V'-DR) measured according to the present invention has a small difference from
the speed (V-GPS) measured using the GPS. Thus, a speed that is almost the same as
the actual speed of the moving object can be acquired by measuring the speed of the
moving object based on the roll angle of the moving object.
[0071] As a second comparison result, referring to FIG. 7A, it shows a graph of the speed
of a moving object measured irrespective of the roll angle of the moving object according
to prior art and a graph of the speed of the moving object measured using a GPS. In
FIG. 7A, an encircled 'f' indicates the speed (V-GPS) of the moving object measured
using the GPS and (e) (circled-'e') encircled 'e' indicates the speed (V-DR) of the
moving object measured irrespective of the roll angle of the moving object according
to prior art.
[0072] Referring to FIG. 7B, it shows a graph of the speed of a moving object measured based
on the roll angle of the moving object according to the present invention and a graph
of the speed of the moving object measured using a GPS. In FIG. 7B, (g) an encircled
'g' indicates the speed (V-GPS) of the moving object measured using the GPS and an
encircled 'h' indicates the speed (V'-DR) of the moving object measured based on the
roll angle of the moving object according to the present invention.
[0073] When FIGs. 7A and 7B are compared, a performance difference between measurement of
the speed of the moving object irrespective of the roll angle of the moving object
and measurement of the speed of the moving object based on the roll angle of the moving
object can be seen. In other words, when the speed of the moving object is measured
based on the roll angle of the moving object according to the present invention, a
speed measurement error is small and a speed that is almost the same as the actual
speed of the moving object can be acquired.
[0074] As described above herein, according to the present invention, the speed of the moving
object can be accurately measured based on the roll angle of the moving object.
[0075] In addition, already mounted accelerometers are used without further mounting of
expensive and bulky gyroscopes for measurement based on the roll angle of the moving
object, thereby reducing the manufacturing cost of a DR system.
[0076] Furthermore, by accurately measuring the speed of the moving object, accuracy in
positioning of the moving object using the speed of the moving object can be improved.
1. An apparatus for measuring the speed of a moving objects (30) on a road, the apparatus
comprising:
accelerometers (110, 120) for measuring a first acceleration along a moving direction
of the moving object (30) and a second acceleration along a lateral direction of the
moving object (30);
gyroscopes (130, 140) for measuring a first angular speed along the lateral direction
of the moving object (30) and a second angular speed along a lower direction of the
moving object (30);
a roll angle calculator (160) for calculating a roll angle of the moving object (30)
using the second acceleration, the second angular speed, a previous speed of the moving
object (30) in the moving direction of the moving object (30), and a previous road
inclination angle with respect to the moving direction of the moving object (30);
an inclination angle calculator (170) for calculating a road inclination angle using
the calculated roll angle, the first angular speed, and the second angular speed;
and
a speed calculator (180) for calculating a pure motion acceleration in the moving
direction of the moving object (30) using the calculated road inclination angle and
for calculating the speed of the moving object (30) using the pure motion acceleration
of the moving object (30).
2. The apparatus of claim 1, further comprising a data storage unit (190) for storing
the calculated road inclination angle and the calculated speed in the moving direction
of the moving object (30) and for providing the previous road inclination angle and
the previous speed in the moving direction of the moving object (30) to the roll angle
calculator (160).
3. The apparatus of claim 1 or 2, wherein the roll angle calculator (160) uses predetermined
initial values in the absence of either the previous speed in the moving direction
of the moving object (30) or the previous road inclination angle with respect to the
moving direction of the moving object (30).
4. The apparatus of any one of claims 1 to 3, wherein the roll angle calculator (160)
arranges an equation for the second acceleration to an equation for the roll angle
of the moving object (30) and substitutes the second acceleration, the second angular
speed, the previous speed in the moving direction of the moving object (30), and the
previous road inclination angle with respect to the moving direction of the moving
object (30) into the equation for the roll angle of the moving object (30), thereby
calculating the roll angle of the moving object (30).
5. The apparatus of any one of claims 1 to 3, wherein the speed calculator (180) calculates
a gravitational acceleration component included in the first acceleration using the
road inclination angle and subtracts the gravitational acceleration component from
the first acceleration, thereby calculating the pure motion acceleration in the moving
direction of the moving object (30).
6. The apparatus in accordance with any of claims 1 to 5, wherein the accelerometers
(110, 120) are two axis accelerometers.
7. A method for measuring the speed of a moving object (30) on a road, the method comprising
the steps of:
measuring (402) a first acceleration along a moving direction of the moving object
(30) and a second acceleration along a lateral direction of the moving object (30);
measuring (404, 406) a first angular speed along the lateral direction of the moving
object (30) and a second angular speed along a lower direction of the moving object
(30);
calculating (408) a roll angle of the moving object (30) using the second acceleration,
the second angular speed, a previous speed of the moving object (30) in the moving
direction of the moving object (30), and a previous road inclination angle with respect
to the moving direction of the moving object (30);
calculating (412) a road inclination angle using the calculated roll angle, the first
angular speed, and the second angular speed; and
calculating (414) a pure motion acceleration in the moving direction of the moving
object (30) using the calculated road inclination angle and calculating (416) the
speed of the moving object (30) using the pure motion acceleration of the moving object
(30).
8. The method of claim 7, further comprising storing the calculated road inclination
angle and the calculated speed in the moving direction of the moving object (30).
9. The method of claim 7 or 8, further comprising calculating (408) the roll angle of
the moving object (30) using predetermined initial values if there is neither the
previous speed of the moving object (30) in the moving direction of the moving object
(30) nor the previous road inclination angle.
10. The method of any one of claims 7 to 9, wherein the step of calculating (408) the
roll angle of the moving object (30) comprises:
arranging an equation for the second acceleration to an equation for the roll angle
of the moving object (30);
acquiring the second acceleration, the second angular speed, the previous speed of
the moving object (30) in the moving direction of the moving object (30), and the
previous road inclination angle with respect to the moving direction of the moving
object (30); and
substituting the second acceleration, the second angular speed, the previous speed
of the moving object (30) in the moving direction of the moving object (30), and the
previous road inclination angle with respect to the moving direction of the moving
object (30) into the equation for the roll angle of the moving object (30), thereby
calculating the roll angle of the moving object (30).
11. The method of any one of claims 7 to 10, wherein the step of calculating (414) the
pure motion acceleration in the moving direction of the moving object (30) comprises:
acquiring a gravitational acceleration component included in the first acceleration
using the road inclination angle; and
subtracting the gravitational acceleration component from the first acceleration,
thereby calculating the pure motion acceleration in the moving direction of the moving
object (30).
1. Vorrichtung zur Messung der Geschwindigkeit eines beweglichen Objekts (30) auf einer
Straße, wobei die Vorrichtung umfasst:
Beschleunigungsmesser (110, 120) zur Messung einer ersten Beschleunigung längs einer
Bewegungsrichtung des beweglichen Objekts (30) und einer zweiten Beschleunigung längs
einer Querrichtung des beweglichen Objekts (30);
Gyroskope (130, 140) zur Messung einer ersten Winkelgeschwindigkeit längs der Querrichtung
des beweglichen Objekts (30) und einer zweiten Winkelgeschwindigkeit längs einer tiefer
liegenden Richtung des beweglichen Objekts (30);
einen Querneigungswinkelrechner (160) zur Berechnung eines Querneigungswinkels des
beweglichen Objekts (30) unter Verwendung der zweiten Beschleunigung, der zweiten
Winkelgeschwindigkeit, einer vorherigen Geschwindigkeit des beweglichen Objekts (30)
in der Bewegungsrichtung des beweglichen Objekts (30) und eines vorherigen Straßenneigungswinkels
bezüglich der Bewegungsrichtung des beweglichen Objekts (30);
einen Neigungswinkelrechner (170) zur Berechnung eines Straßenneigungswinkels unter
Verwendung des berechneten Querneigungswinkels, der ersten Winkelgeschwindigkeit und
der zweiten Winkelgeschwindigkeit; und
einen Geschwindigkeitsrechner (180) zur Berechnung einer reinen Bewegungsbeschleunigung
in der Bewegungsrichtung des beweglichen Objekts (30) unter Verwendung des berechneten
Straßenneigungswinkels und zur Berechnung der Geschwindigkeit des beweglichen Objekts
(30) unter Verwendung der reinen Bewegungsbeschleunigung des beweglichen Objekts (30).
2. Vorrichtung nach Anspruch 1, ferner umfassend eine Datenspeicherungseinheit (190)
zum Speichern des berechneten Straßenneigungswinkels und der berechneten Geschwindigkeit
in der Bewegungsrichtung des beweglichen Objekts (30) und zum Bereitstellen des vorherigen
Straßenneigungswinkels und der vorherigen Geschwindigkeit in der Bewegungsrichtung
des beweglichen Objekts (30) für den Querneigungswinkelrechner (160).
3. Vorrichtung nach Anspruch 1 oder 2, wobei der Querneigungswinkelrechner (160) vorgegebene
Anfangswerte beim Fehlen von entweder der vorherigen Geschwindigkeit in der Bewegungsrichtung
des beweglichen Objekts (30) oder des vorherigen Straßenneigungswinkels bezüglich
der Bewegungsrichtung des beweglichen Objekts (30) nutzt.
4. Vorrichtung nach einem der Ansprüche 1 bis 3, wobei der Querneigungswinkelrechner
(160) eine Gleichung für die zweite Beschleunigung einer Gleichung für den Querneigungswinkel
des beweglichen Objekts (30) zuordnet und die zweite Beschleunigung, die zweite Winkelgeschwindigkeit,
die vorherige Geschwindigkeit in der Bewegungsrichtung des beweglichen Objekts (30)
und den vorherigen Straßenneigungswinkel bezüglich der Bewegungsrichtung des beweglichen
Objekts (30) in die Gleichung für den Querneigungswinkel des beweglichen Objekts (30)
substituiert, wodurch der Querneigungswinkel des beweglichen Objekts (30) berechnet
wird.
5. Vorrichtung nach einem der Ansprüche 1 bis 3, wobei der Geschwindigkeitsrechner (180)
eine in der ersten Beschleunigung enthaltene Komponente der Gravitationsbeschleunigung
berechnet, indem der Straßenneigungswinkel verwendet wird, und die Gravitationsbeschleunigungskomponente
von der ersten Beschleunigung subtrahiert, wodurch die reine Bewegungsbeschleunigung
in der Bewegungsrichtung des beweglichen Objekts (30) berechnet wird.
6. Vorrichtung nach einem der Ansprüche 1 bis 5, wobei die Beschleunigungsmesser (110,
120) Zweiachsen-Beschleunigungsmesser sind.
7. Verfahren zur Messung der Geschwindigkeit eines beweglichen Objekts (30) auf einer
Straße, wobei das Verfahren die Schritte umfasst:
Messen (402) einer ersten Beschleunigung längs einer Bewegungsrichtung des beweglichen
Objekts (30) und einer zweiten Beschleunigung längs einer Querrichtung des beweglichen
Objekts (30);
Messen (404, 406) einer ersten Winkelgeschwindigkeit längs der Querrichtung des beweglichen
Objekts (30) und einer zweiten Winkelgeschwindigkeit längs einer tiefer liegenden
Richtung des beweglichen Objekts (30);
Berechnen (408) eines Querneigungswinkels des beweglichen Objekts (30) unter Verwendung
der zweiten Beschleunigung, der zweiten Winkelgeschwindigkeit, einer vorherigen Geschwindigkeit
des beweglichen Objekts (30) in der Bewegungsrichtung des beweglichen Objekts (30)
und eines vorherigen Straßenneigungswinkels bezüglich der Bewegungsrichtung des beweglichen
Objekts (30);
Berechnen (412) eines Straßenneigungswinkels unter Verwendung des berechneten Querneigungswinkels,
der ersten Winkelgeschwindigkeit und der zweiten Winkelgeschwindigkeit; und
Berechnen (414) einer reinen Bewegungsbeschleunigung in der Bewegungsrichtung des
beweglichen Objekts (30) unter Verwendung des berechneten Straßenneigungswinkels und
Berechnen (416) der Geschwindigkeit des beweglichen Objekts (30) unter Verwendung
der reinen Bewegungsbeschleunigung des beweglichen Objekts (30).
8. Verfahren nach Anspruch 7, des Weiteren umfassend Speichern des berechneten Straßenneigungswinkels
und der berechneten Geschwindigkeit in der Bewegungsrichtung des beweglichen Objekts
(30).
9. Verfahren nach Anspruch 7 oder 8, des Weiteren umfassend Berechnen (408) des Querneigungswinkels
des beweglichen Objekts (30) unter Verwendung von vorgegebenen Anfangswerten, wenn
weder die vorherige Geschwindigkeit des beweglichen Objekts (30) in der Bewegungsrichtung
des beweglichen Objekts (30) noch der vorherige Straßenneigungswinkel vorhanden ist.
10. Verfahren nach einem der Ansprüche 7 bis 9, wobei der Schritt des Berechnens (408)
des Querneigungswinkels des beweglichen Objekts (30) umfasst:
Zuordnen einer Gleichung für die zweite Beschleunigung einer Gleichung für den Querneigungswinkel
des beweglichen Objekts (30);
Erfassen der zweiten Beschleunigung, der zweiten Winkelgeschwindigkeit, der vorherigen
Geschwindigkeit des beweglichen Objekts (30) in der Bewegungsrichtung des beweglichen
Objekts (30) und des vorherigen Straßenneigungswinkels bezüglich der Bewegungsrichtung
des beweglichen Objekts (30); und
Substituieren der zweiten Beschleunigung, der zweiten Winkelgeschwindigkeit, der vorherigen
Geschwindigkeit des beweglichen Objekts (30) in die Bewegungsrichtung des beweglichen
Objekts (30) und des vorherigen Straßenneigungswinkels bezüglich der Bewegungsrichtung
des beweglichen Objekts (30) in die Gleichung für den Querneigungswinkel des beweglichen
Objekts (30), wodurch der Querneigungswinkel des beweglichen Objekts (30) berechnet
wird.
11. Verfahren nach einem der Ansprüche 7 bis 10, wobei der Schritt des Berechnens (414)
der reinen Bewegungsbeschleunigung in der Bewegungsrichtung des beweglichen Objekts
(30) umfasst:
Erfassen einer in der ersten Beschleunigung enthaltenen Gravitationsbeschleunigungskomponente
unter Verwendung des Straßenneigungswinkels; und
Subtrahieren der Gravitationsbeschleunigungskomponente von der ersten Beschleunigung,
wodurch die reine Bewegungsbeschleunigung in der Bewegungsrichtung des beweglichen
Objekts (30) berechnet wird.
1. Appareil pour mesurer la vitesse d'un objet en mouvement (30) sur une route, l'appareil
comprenant :
des accéléromètres (110, 120) pour mesurer une première accélération dans une direction
de déplacement de l'objet en mouvement (30) et une seconde accélération dans une direction
latérale de l'objet en mouvement (30) ;
des gyroscopes (130, 140) pour mesurer une première vitesse angulaire dans la direction
latérale de l'objet en mouvement (30) et une seconde vitesse angulaire dans une direction
inférieure de l'objet en mouvement (30) ;
un calculateur d'angle de roulis (160) pour calculer un angle de roulis de l'objet
en mouvement (30) en utilisant la seconde accélération, la seconde vitesse angulaire,
une précédente vitesse de l'objet en mouvement (30) dans la direction de déplacement
de l'objet en mouvement (30) et un précédent angle d'inclinaison de la route par rapport
à la direction de déplacement de l'objet en mouvement (30) ;
un calculateur d'angle d'inclinaison (170) pour calculer un angle d'inclinaison d'une
route en utilisant l'angle de roulis calculé, la première vitesse angulaire et la
seconde vitesse angulaire ; et
un calculateur de vitesse (180) pour calculer une accélération pure du mouvement dans
la direction de déplacement de l'objet en mouvement (30) en utilisant l'angle d'inclinaison
de la route calculé et pour calculer la vitesse de l'objet en mouvement (30) en utilisant
l'accélération pure du mouvement de l'objet en mouvement (30).
2. Appareil selon la revendication 1, comprenant en outre une unité de stockage de données
(190) pour stocker l'angle d'inclinaison de la route calculé et la vitesse dans la
direction de déplacement de l'objet en mouvement (30) calculée et pour fournir le
précédent angle d'inclinaison de la route et la précédente vitesse dans la direction
de déplacement de l'objet en mouvement (30) au calculateur d'angle de roulis (160).
3. Appareil selon la revendication 1 ou 2, où le calculateur d'angle de roulis (160)
utilise des valeurs initiales prédéterminées en l'absence soit de la précédente vitesse
dans la direction de déplacement de l'objet en mouvement (30) ou du précédent angle
d'inclinaison de la route par rapport à la direction de déplacement de l'objet en
mouvement (30).
4. Appareil selon l'une quelconque des revendications 1 à 3, où le calculateur d'angle
de roulis (160) adapte une équation pour la seconde accélération à une équation pour
l'angle de roulis de l'objet en mouvement (30) et substitue la seconde accélération,
la seconde vitesse angulaire, la précédente vitesse dans la direction de déplacement
de l'objet en mouvement (30) et le précédent angle d'inclinaison de la route par rapport
à la direction de déplacement de l'objet en mouvement (30) dans l'équation pour l'angle
de roulis de l'objet en mouvement (30) et calcule ainsi l'angle de roulis de l'objet
en mouvement (30).
5. Appareil selon l'une quelconque des revendications 1 à 3, où le calculateur de vitesse
(180) calcule une composante d'accélération gravitationnelle incluse dans la première
accélération en utilisant l'angle d'inclinaison de la route et soustrait la composante
d'accélération gravitationnelle de la première accélération et calcule ainsi l'accélération
pure du mouvement dans la direction de déplacement de l'objet en mouvement (30).
6. Appareil selon l'une quelconque des revendications 1 à 5, où les accéléromètres (110,
120) sont des accéléromètres à 2 axes.
7. Procédé pour mesurer la vitesse d'un objet en mouvement (30) sur un route, le procédé
comportant les étapes consistant à :
mesurer (402) une première accélération dans une direction de déplacement de l'objet
en mouvement (30) et une seconde accélération dans une direction latérale de l'objet
en mouvement (30) ;
mesurer (404, 406) une première vitesse angulaire dans la direction latérale de l'objet
en mouvement (30) et une seconde vitesse angulaire dans une direction inférieure de
l'objet en mouvement (30) ;
calculer (408) un angle de roulis de l'objet en mouvement (30) en utilisant la seconde
accélération, la seconde vitesse angulaire, une précédente vitesse de l'objet en mouvement
(30) dans la direction de déplacement de l'objet en mouvement (30) et un précédent
angle d'inclinaison de la route par rapport à la direction de déplacement de l'objet
en mouvement (30) ;
calculer (412) un angle d'inclinaison d'une route en utilisant l'angle de roulis calculé,
la première vitesse angulaire et la seconde vitesse angulaire ; et
calculer (414) une accélération pure du mouvement dans la direction de déplacement
de l'objet en mouvement (30) en utilisant l'angle d'inclinaison de la route calculé
et calculer (416) la vitesse de l'objet en mouvement (30) en utilisant l'accélération
pure du mouvement de l'objet en mouvement (30).
8. Procédé selon la revendication 7, comprenant en outre l'étape consistant à stocker
l'angle d'inclinaison de la route calculé et la vitesse dans la direction de déplacement
de l'objet en mouvement (30) calculée.
9. Procédé selon la revendication 7 ou 8, comprenant en outre l'étape consistant à calculer
(408) l'angle de roulis de l'objet en mouvement (30) en utilisant des valeurs initiales
prédéterminées si ni la précédente vitesse de l'objet en mouvement (30) dans la direction
de déplacement de l'objet en mouvement (30) ni le précédent angle d'inclinaison de
la route ne sont disponibles.
10. Procédé selon l'une quelconque des revendications 7 à 9, où l'étape consistant à calculer
(408) l'angle de roulis de l'objet en mouvement (30) comprend les étapes consistant
à :
adapter une équation pour la seconde accélération à une équation pour l'angle de roulis
de l'objet en mouvement (30) ;
obtenir la seconde accélération, la seconde vitesse angulaire, la précédente vitesse
de l'objet en mouvement (30) dans la direction de déplacement de l'objet en mouvement
(30) et le précédent angle d'inclinaison de la route par rapport à la direction de
déplacement de l'objet en mouvement (30) ; et
substituer la seconde accélération, la seconde vitesse angulaire, la précédente vitesse
de l'objet en mouvement (30) dans la direction de déplacement de l'objet en mouvement
(30) et le précédent angle d'inclinaison de la route par rapport à la direction de
déplacement de l'objet en mouvement (30) dans l'équation pour l'angle de roulis de
l'objet en mouvement (30) et ainsi calculer l'angle de roulis de l'objet en mouvement
(30).
11. Procédé selon l'une quelconque des revendications 7 à 10, où l'étape consistant à
calculer (414) l'accélération pure du mouvement dans la direction de déplacement de
l'objet en mouvement (30) comprend les étapes consistant à :
obtenir une composante d'accélération gravitationnelle incluse dans la première accélération
en utilisant l'angle d'inclinaison de la route ; et
soustraire la composante d'accélération gravitationnelle de la première accélération
et calculer ainsi l'accélération pure du mouvement dans la direction de déplacement
de l'objet en mouvement (30).